Question

A 2018 Pew Research Center survey found that more Americans believe they could give up their televisions than could give up their cell phones. Suppose that the following table represents the joint probabilities of Americans who could give up their television or cell phone.
Could Give Up Television
Yes No
Could Give Up Cell Phone Yes 0.33 0.16 0.49
No 0.38 0.13 0.51
0.71 0.29

Required:
The joint probability that a person could not give up their cell phone but could give up television can be found at the intersection of the No row and Yes column. Therefore, P(T ∩ C) = ____________ .

Answer 1

The probability that a person could not give up cell phone but could give up television can be expressed as the probability of No could give up cell phone and Yes could give up television, P(NnY) = 0.39

From the two way probability table given :

• Let, probability that a person could not give up cell phone = N

• Probability that a person could give up television = Y

The intersection of Y and N = P(Y n N)

• The probability value at the intersection point using the table given ls 0.39

Therefore, the probability of YnN is 0.39

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